Pith Number

pith:NTINWJPN

pith:2002:NTINWJPNZLVNZ4CU6EEC66ATOR

not attested not anchored not stored refs pending

Multiple Description Vector Quantization with Lattice Codebooks: Design and Analysis

N.J.A. Sloane, Sergio D. Servetto, Vinay A. Vaishampayan

arxiv:math/0207289 v1 · 2002-07-30 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTINWJPNZLVNZ4CU6EEC66ATOR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:57:44.965230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd0db25edcaeadcf054f1082f781374507f7acf992fcd178973091272751416

Aliases

arxiv: math/0207289 · arxiv_version: math/0207289v1 · doi: 10.48550/arxiv.math/0207289 · pith_short_12: NTINWJPNZLVN · pith_short_16: NTINWJPNZLVNZ4CU · pith_short_8: NTINWJPN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NTINWJPNZLVNZ4CU6EEC66ATOR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6cd0db25edcaeadcf054f1082f781374507f7acf992fcd178973091272751416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbacc9ad8656e326e3e1e603da826fefc59d1a24aece110bc70534cb2f5816f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2002-07-30T21:03:54Z",
    "title_canon_sha256": "1ac7f1bafc1be0e4c2a6c0f9bf2dc3695548424bcb23fd533e571494bca43cd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0207289",
    "kind": "arxiv",
    "version": 1
  }
}